Question

if x^2+1/x^2 =98 find x^3 +1/x^3​

Answer 1

Answer:

Step-by-step explanation:

x² + 1/x² = 98

add 2 on both the sides and by doing that you will get

x² + 1/x² +2 = 100

or you can write it as

(x + 1/x )² =10²

⇒(x + 1/x ) = 10

cube on both sides

x³ +1/x³ =3x.1/x(x+1/x) = 1000

⇒we already know (x + 1/x ) = 10

so

x³ +1/x = 1000 - 30 = 970

so the answer in 970...

Answer 2

See the attachment for answer